1,254 research outputs found
ΠΠΎΠ³ΠΈΠΊΠ° Π΄Π»Ρ ΡΡΠΆΠ΄Π΅Π½ΠΈΠΉ ΠΎΠ± ΠΎΡΠΈΠ±ΠΊΠ°Ρ Π² ΡΠΈΠΊΠ»Π°Ρ Π½Π°Π΄ ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΡΠΌΠΈ Π΄Π°Π½Π½ΡΡ (IFIL)
Classic deductive verification is not focused on reasoning about program incorrectness. Reasoning about program incorrectness using formal methods is an important problem nowadays. Special logics such as Incorrectness Logic, Adversarial Logic, Local Completeness Logic, Exact Separation Logic and Outcome Logic have recently been proposed to address it. However, these logics have two disadvantages. One is that they are based on under-approximation approaches, while classic deductive verification is based on the over-approximation approach. One the other hand, the use of the classic approach requires defining loop invariants in a general case. The second disadvantage is that the use of generalized inference rules from these logics results in having to prove too complex formulas in simple cases. Our contribution is a new logic for solving these problems in the case of loops over data sequences. These loops are referred to as finite iterations. We call the proposed logic the Incorrectness Finite Iteration Logic (IFIL). We avoid defining invariants of finite iterations using a symbolic replacement of these loops with recursive functions. Our logic is based on special inference rules for finite iterations. These rules allow generating formulas with recursive functions corresponding to finite iterations. The validity of these formulas may indicate the presence of bugs in the finite iterations. This logic has been implemented in a new version of the C-lightVer system for deductive verification of C programs.ΠΠ»Π°ΡΡΠΈΡΠ΅ΡΠΊΠ°Ρ Π΄Π΅Π΄ΡΠΊΡΠΈΠ²Π½Π°Ρ Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΡ Π½Π΅ ΠΎΡΠΈΠ΅Π½ΡΠΈΡΠΎΠ²Π°Π½Π° Π½Π° Π΄ΠΎΠΊΠ°Π·Π°ΡΠ΅Π»ΡΡΡΠ²ΠΎ Π½Π΅ΠΊΠΎΡΡΠ΅ΠΊΡΠ½ΠΎΡΡΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ. ΠΠΎΠΊΠ°Π·Π°ΡΠ΅Π»ΡΡΡΠ²ΠΎ Π½Π΅ΠΊΠΎΡΡΠ΅ΠΊΡΠ½ΠΎΡΡΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΡΡ
ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ² ΡΠ²Π»ΡΠ΅ΡΡΡ Π°ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠΉ Π·Π°Π΄Π°ΡΠ΅ΠΉ Π² Π½Π°ΡΡΠΎΡΡΠ΅Π΅ Π²ΡΠ΅ΠΌΡ. Π‘ΠΏΠ΅ΡΠΈΠ°Π»ΡΠ½ΡΠ΅ Π»ΠΎΠ³ΠΈΠΊΠΈ, ΡΠ°ΠΊΠΈΠ΅ ΠΊΠ°ΠΊ Incorrectness Logic, Adversarial Logic, Local Completeness Logic, Exact Separation Logic ΠΈ Outcome Logic, Π±ΡΠ»ΠΈ Π½Π΅Π΄Π°Π²Π½ΠΎ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Ρ Π΄Π»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π΄Π°Π½Π½ΠΎΠΉ Π·Π°Π΄Π°ΡΠΈ. ΠΠΎ Ρ Π΄Π°Π½Π½ΡΡ
Π»ΠΎΠ³ΠΈΠΊ ΠΈΠΌΠ΅Π΅ΡΡΡ Π΄Π²Π° Π½Π΅Π΄ΠΎΡΡΠ°ΡΠΊΠ°. ΠΠΎ-ΠΏΠ΅ΡΠ²ΡΡ
, Π² Π΄Π°Π½Π½ΡΡ
Π»ΠΎΠ³ΠΈΠΊΠ°Ρ
ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΡΡΡΡ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄Ρ, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΡΠ΅ Π½Π° Π½ΠΈΠΆΠ½Π΅ΠΉ Π°ΠΏΠΏΡΠΎΠΊΡΠΈΠΌΠ°ΡΠΈΠΈ, ΡΠΎΠ³Π΄Π° ΠΊΠ°ΠΊ Π² ΠΊΠ»Π°ΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ Π΄Π΅Π΄ΡΠΊΡΠΈΠ²Π½ΠΎΠΉ Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΠ΅ΡΡΡ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΡΠΉ Π½Π° Π²Π΅ΡΡ
Π½Π΅ΠΉ Π°ΠΏΠΏΡΠΎΠΊΡΠΈΠΌΠ°ΡΠΈΠΈ. Π‘ Π΄ΡΡΠ³ΠΎΠΉ ΡΡΠΎΡΠΎΠ½Ρ, ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΠ»Π°ΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄Π° ΡΡΠ΅Π±ΡΠ΅Ρ Π² ΠΎΠ±ΡΠ΅ΠΌ ΡΠ»ΡΡΠ°Π΅ Π·Π°Π΄Π°Π½ΠΈΡ ΠΈΠ½Π²Π°ΡΠΈΠ°Π½ΡΠΎΠ² ΡΠΈΠΊΠ»ΠΎΠ². ΠΠΎ-Π²ΡΠΎΡΡΡ
, ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΡΠ°Π²ΠΈΠ» Π²ΡΠ²ΠΎΠ΄Π° Π΄Π»Ρ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ½ΡΡ
ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠΉ Π² ΠΈΡ
ΡΠ°ΠΌΠΎΠΌ ΠΎΠ±ΡΠ΅ΠΌ Π²ΠΈΠ΄Π΅ ΠΏΡΠΈΠ²ΠΎΠ΄ΠΈΡ ΠΊ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎΡΡΠΈ Π΄ΠΎΠΊΠ°Π·Π°ΡΠ΅Π»ΡΡΡΠ²Π° ΡΠ»ΠΎΠΆΠ½ΡΡ
ΡΠΎΡΠΌΡΠ» Π² ΠΏΡΠΎΡΡΡΡ
ΡΠΈΡΡΠ°ΡΠΈΡΡ
. ΠΠ°ΡΠΈΠΌ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠΌ, ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π½ΡΠΌ Π² Π΄Π°Π½Π½ΠΎΠΉ ΡΡΠ°ΡΡΠ΅, ΡΠ²Π»ΡΠ΅ΡΡΡ Π½ΠΎΠ²Π°Ρ Π»ΠΎΠ³ΠΈΠΊΠ° Π΄Π»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π΄Π°Π½Π½ΡΡ
ΠΏΡΠΎΠ±Π»Π΅ΠΌ Π² ΡΠ»ΡΡΠ°Π΅ ΡΠΈΠΊΠ»ΠΎΠ² Π½Π°Π΄ ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΡΠΌΠΈ Π΄Π°Π½Π½ΡΡ
. Π’Π°ΠΊΠ°Ρ ΡΠΈΠΊΠ»Ρ ΠΌΡ Π½Π°Π·ΡΠ²Π°Π΅ΠΌ ΡΠΈΠ½ΠΈΡΠ½ΡΠΌΠΈ ΠΈΡΠ΅ΡΠ°ΡΠΈΡΠΌΠΈ. ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π½ΡΡ Π»ΠΎΠ³ΠΈΠΊΡ ΠΌΡ Π½Π°Π·ΡΠ²Π°Π΅ΠΌ Π»ΠΎΠ³ΠΈΠΊΠΎΠΉ Π΄Π»Ρ ΡΡΠΆΠ΄Π΅Π½ΠΈΠΉ ΠΎ Π½Π΅ΠΊΠΎΡΡΠ΅ΠΊΡΠ½ΠΎΡΡΠΈ ΡΠΈΠ½ΠΈΡΠ½ΡΡ
ΠΈΡΠ΅ΡΠ°ΡΠΈΠΉ (IFIL). ΠΡ ΠΈΠ·Π±Π΅Π³Π°Π΅ΠΌ Π·Π°Π΄Π°Π½ΠΈΡ ΠΈΠ½Π²Π°ΡΠΈΠ°Π½ΡΠΎΠ² ΡΠΈΠ½ΠΈΡΠ½ΡΡ
ΠΈΡΠ΅ΡΠ°ΡΠΈΠΉ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΡΠΈΠΌΠ²ΠΎΠ»ΠΈΡΠ΅ΡΠΊΠΎΠΉ Π·Π°ΠΌΠ΅Π½Ρ Π² ΡΡΠ»ΠΎΠ²ΠΈΡΡ
ΠΊΠΎΡΡΠ΅ΠΊΡΠ½ΠΎΡΡΠΈ ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
ΡΠ°ΠΊΠΈΡ
ΡΠΈΠΊΠ»ΠΎΠ² ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡΠΌΠΈ ΡΠ΅ΠΊΡΡΡΠΈΠ²Π½ΡΡ
ΡΡΠ½ΠΊΡΠΈΠΉ. ΠΠ°ΡΠ° Π»ΠΎΠ³ΠΈΠΊΠ° ΠΎΡΠ½ΠΎΠ²Π°Π½Π° Π½Π° ΡΠΏΠ΅ΡΠΈΠ°Π»ΡΠ½ΡΡ
ΠΏΡΠ°Π²ΠΈΠ»Π°Ρ
Π²ΡΠ²ΠΎΠ΄Π° Π΄Π»Ρ ΡΠΈΠ½ΠΈΡΠ½ΡΡ
ΠΈΡΠ΅ΡΠ°ΡΠΈΠΉ. ΠΡΠΈ ΠΏΡΠ°Π²ΠΈΠ»Π° ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡ Π²ΡΠ²ΠΎΠ΄ΠΈΡΡ ΡΠΎΡΠΌΡΠ»Ρ Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡΠΌΠΈ ΡΠ΅ΠΊΡΡΡΠΈΠ²Π½ΡΡ
ΡΡΠ½ΠΊΡΠΈΠΉ, ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΡΡΡΠΈΡ
ΡΠΈΠ½ΠΈΡΠ½ΡΠΌ ΠΈΡΠ΅ΡΠ°ΡΠΈΡΠΌ. ΠΡΡΠΈΠ½Π½ΠΎΡΡΡ ΡΡΠΈΡ
ΡΠΎΡΠΌΡΠ» ΠΌΠΎΠΆΠ΅Ρ ΠΎΠ·Π½Π°ΡΠ°ΡΡ Π½Π°Π»ΠΈΡΠΈΠ΅ ΠΎΡΠΈΠ±ΠΎΠΊ Π² ΡΠΈΠ½ΠΈΡΠ½ΡΡ
ΠΈΡΠ΅ΡΠ°ΡΠΈΡΡ
. ΠΠ°Π½Π½Π°Ρ Π»ΠΎΠ³ΠΈΠΊΠ° Π±ΡΠ»Π° ΡΠ΅Π°Π»ΠΈΠ·ΠΎΠ²Π°Π½Π° Π² Π½ΠΎΠ²ΠΎΠΉ Π²Π΅ΡΡΠΈΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ½ΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ C-lightVer Π΄Π»Ρ Π΄Π΅Π΄ΡΠΊΡΠΈΠ²Π½ΠΎΠΉ Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ Π½Π° ΡΠ·ΡΠΊΠ΅ C
On the Bulk Velocity of Brownian Ratchets
In this paper we study the unidirectional transport effect for Brownian ratchets modeled by Fokker--Planck-type equations. In particular, we consider the adiabatic and semiadiabatic limits for tilting ratchets, generic ratchets with small diffusion, and the multistate chemical ratchets. Having established a linear relation between the bulk transport velocity and the biperiodic solution, and using relative entropy estimates and new functional inequalities, we obtain explicit asymptotic formulas for the transport velocity and qualitative results concerning the direction of transport. In particular, we prove the conjecture by Blanchet, Dolbeault, and Kowalczyk that the bulk velocity of the stochastic Stokes' drift is nonzero for every nonconstant potential
ΠΠ° ΠΏΡΡΠΈ ΠΊ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ Π΄Π΅Π΄ΡΠΊΡΠΈΠ²Π½ΠΎΠΉ Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ C-ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ Ρ Sisal-ΡΠΈΠΊΠ»Π°ΠΌΠΈ Π² ΡΠΈΡΡΠ΅ΠΌΠ΅ C-lightVer
The C-lightVer system is developed in IIS SB RAS for C-program deductive verification. C-kernel is an intermediate verification language in this system. Cloud parallel programming system (CPPS) is also developed in IIS SB RAS. Cloud Sisal is an input language of CPPS. The main feature of CPPS is implicit parallel execution based on automatic parallelization of Cloud Sisal loops. Cloud-Sisal-kernel is an intermediate verification language in the CPPS system. Our goal is automatic parallelization of such a superset of C that allows implementing automatic verification. Our solution is such a superset of C-kernel as C-Sisal-kernel. The first result presented in this paper is an extension of C-kernel by Cloud-Sisal-kernel loops. We have obtained the C-Sisal-kernel language. The second result is an extension of C-kernel axiomatic semantics by inference rule for Cloud-Sisal-kernel loops. The paper also presents our approach to the problem of deductive verification automation in the case of finite iterations over data structures. This kind of loops is referred to as definite iterations. Our solution is a composition of symbolic method of verification of definite iterations, verification condition metageneration and mixed axiomatic semantics method. Symbolic method of verification of definite iterations allows defining inference rules for these loops without invariants. Symbolic replacement of definite iterations by recursive functions is the base of this method. Obtained verification conditions with applications of recursive functions correspond to logical base of ACL2 prover. We use ACL2 system based on computable recursive functions. Verification condition metageneration allows simplifying implementation of new inference rules in a verification system. The use of mixed axiomatic semantics results to simpler verification conditions in some cases.Π ΠΠ½ΡΡΠΈΡΡΡΠ΅ ΡΠΈΡΡΠ΅ΠΌ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΊΠΈ Π‘Π Π ΠΠ ΡΠ°Π·ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΡΡΡ ΡΠΈΡΡΠ΅ΠΌΠ° C-lightVer Π΄Π»Ρ Π΄Π΅Π΄ΡΠΊΡΠΈΠ²Π½ΠΎΠΉ Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ C-ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ. C-kernel ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΏΡΠΎΠΌΠ΅ΠΆΡΡΠΎΡΠ½ΡΠΌ ΡΠ·ΡΠΊΠΎΠΌ Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Π² Π΄Π°Π½Π½ΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ΅. Π‘ΠΈΡΡΠ΅ΠΌΠ° ΠΎΠ±Π»Π°ΡΠ½ΠΎΠ³ΠΎ ΠΏΠ°ΡΠ°Π»Π»Π΅Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ (CPPS) ΡΠ°ΠΊΠΆΠ΅ ΡΠ°Π·ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΡΡΡ Π² ΠΠ½ΡΡΠΈΡΡΡΠ΅ ΡΠΈΡΡΠ΅ΠΌ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΊΠΈ Π‘Π Π ΠΠ. Cloud Sisal ΡΠ²Π»ΡΠ΅ΡΡΡ Π²Ρ
ΠΎΠ΄Π½ΡΠΌ ΡΠ·ΡΠΊΠΎΠΌ ΡΠΈΡΡΠ΅ΠΌΡ CPPS. ΠΠ»Π°Π²Π½ΠΎΠΉ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΡΡ ΡΠΈΡΡΠ΅ΠΌΡ CPPS ΡΠ²Π»ΡΠ΅ΡΡΡ Π½Π΅ΡΠ²Π½ΠΎΠ΅ ΠΏΠ°ΡΠ°Π»Π»Π΅Π»ΡΠ½ΠΎΠ΅ ΠΈΡΠΏΠΎΠ»Π½Π΅Π½ΠΈΠ΅, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΠΎΠ΅ Π½Π° Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΌ ΡΠ°ΡΠΏΠ°ΡΠ°Π»Π»Π΅Π»ΠΈΠ²Π°Π½ΠΈΠΈ ΡΠΈΠΊΠ»ΠΎΠ² Cloud Sisal. Cloud-Sisal-kernel ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΏΡΠΎΠΌΠ΅ΠΆΡΡΠΎΡΠ½ΡΠΌ ΡΠ·ΡΠΊΠΎΠΌ Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Π² ΡΠΈΡΡΠ΅ΠΌΠ΅ CPPS. ΠΠ°ΡΠ΅ΠΉ ΡΠ΅Π»ΡΡ ΡΠ²Π»ΡΠ΅ΡΡΡ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΡΠ°ΡΠΏΠ°ΡΠ°Π»Π»Π΅Π»ΠΈΠ²Π°Π½ΠΈΠ΅ ΡΠ°ΠΊΠΎΠ³ΠΎ Π½Π°Π΄ΠΌΠ½ΠΎΠΆΠ΅ΡΡΠ²Π° ΡΠ·ΡΠΊΠ° C, ΠΊΠΎΡΠΎΡΠΎΠ΅ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΡΠ΅Π°Π»ΠΈΠ·ΠΎΠ²Π°ΡΡ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΡΡ Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΡ. ΠΠ°ΡΠΈΠΌ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ΠΌ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ°ΠΊΠΎΠ΅ Π½Π°Π΄ΠΌΠ½ΠΎΠΆΠ΅ΡΡΠ²ΠΎ ΡΠ·ΡΠΊΠ° C-kernel, ΠΊΠ°ΠΊ ΡΠ·ΡΠΊ C-Sisal-kernel. ΠΠ΅ΡΠ²ΡΠΌ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠΌ, ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π½ΡΠΌ Π² Π΄Π°Π½Π½ΠΎΠΉ ΡΡΠ°ΡΡΠ΅, ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ°ΡΡΠΈΡΠ΅Π½ΠΈΠ΅ ΡΠ·ΡΠΊΠ° C-kernel ΡΠΈΠΊΠ»Π°ΠΌΠΈ ΡΠ·ΡΠΊΠ° Cloud-Sisal-kernel. Π ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ΅ Π±ΡΠ» ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½ ΡΠ·ΡΠΊ C-Sisal-kernel. ΠΡΠΎΡΡΠΌ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠΌ, ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π½ΡΠΌ Π² Π΄Π°Π½Π½ΠΎΠΉ ΡΡΠ°ΡΡΠ΅, ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ°ΡΡΠΈΡΠ΅Π½ΠΈΠ΅ Π°ΠΊΡΠΈΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΠΌΠ°Π½ΡΠΈΠΊΠΈ ΡΠ·ΡΠΊΠ° C-kernel ΠΏΡΠ°Π²ΠΈΠ»ΠΎΠΌ Π²ΡΠ²ΠΎΠ΄Π° Π΄Π»Ρ ΡΠΈΠΊΠ»ΠΎΠ² ΡΠ·ΡΠΊΠ° Cloud-Sisal-kernel. Π Π΄Π°Π½Π½ΠΎΠΉ ΡΡΠ°ΡΡΠ΅ ΡΠ°ΠΊΠΆΠ΅ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½ Π½Π°Ρ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ ΠΊ ΠΏΡΠΎΠ±Π»Π΅ΠΌΠ΅ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΠ·Π°ΡΠΈΠΈ Π΄Π΅Π΄ΡΠΊΡΠΈΠ²Π½ΠΎΠΉ Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Π² ΡΠ»ΡΡΠ°Π΅ ΡΠΈΠ½ΠΈΡΠ½ΡΡ
ΠΈΡΠ΅ΡΠ°ΡΠΈΠΉ Π½Π°Π΄ ΡΡΡΡΠΊΡΡΡΠ°ΠΌΠΈ Π΄Π°Π½Π½ΡΡ
. Π’Π°ΠΊΠΈΠ΅ ΡΠΈΠΊΠ»Ρ Π½Π°Π·ΡΠ²Π°ΡΡΡΡ ΡΠΈΠ½ΠΈΡΠ½ΡΠΌΠΈ ΠΈΡΠ΅ΡΠ°ΡΠΈΡΠΌΠΈ. ΠΠ°ΡΠΈΠΌ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ΠΌ ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡΠΈΡ ΡΠΈΠΌΠ²ΠΎΠ»ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΡΠΈΠ½ΠΈΡΠ½ΡΡ
ΠΈΡΠ΅ΡΠ°ΡΠΈΠΉ, ΠΌΠ΅ΡΠ°Π³Π΅Π½Π΅ΡΠ°ΡΠΈΠΈ ΡΡΠ»ΠΎΠ²ΠΈΠΉ ΠΊΠΎΡΡΠ΅ΠΊΡΠ½ΠΎΡΡΠΈ ΠΈ ΡΠΌΠ΅ΡΠ°Π½Π½ΠΎΠΉ Π°ΠΊΡΠΈΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΠΌΠ°Π½ΡΠΈΠΊΠΈ. Π‘ΠΈΠΌΠ²ΠΎΠ»ΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΌΠ΅ΡΠΎΠ΄ Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΡΠΈΠ½ΠΈΡΠ½ΡΡ
ΠΈΡΠ΅ΡΠ°ΡΠΈΠΉ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ Π·Π°Π΄Π°Π²Π°ΡΡ ΠΏΡΠ°Π²ΠΈΠ»Π° Π²ΡΠ²ΠΎΠ΄Π° Π΄Π»Ρ ΡΠ°ΠΊΠΈΡ
ΡΠΈΠΊΠ»ΠΎΠ² Π±Π΅Π· ΠΈΠ½Π²Π°ΡΠΈΠ°Π½ΡΠΎΠ². Π‘ΠΈΠΌΠ²ΠΎΠ»ΠΈΡΠ΅ΡΠΊΠ°Ρ Π·Π°ΠΌΠ΅Π½Π° ΡΠΈΠ½ΠΈΡΠ½ΡΡ
ΠΈΡΠ΅ΡΠ°ΡΠΈΠΉ ΡΠ΅ΠΊΡΡΡΠΈΠ²Π½ΡΠΌΠΈ ΡΡΠ½ΠΊΡΠΈΡΠΌΠΈ ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΎΡΠ½ΠΎΠ²ΠΎΠΉ Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π°. ΠΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ ΡΡΠ»ΠΎΠ²ΠΈΡ ΠΊΠΎΡΡΠ΅ΠΊΡΠ½ΠΎΡΡΠΈ Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡΠΌΠΈ ΡΠ΅ΠΊΡΡΡΠΈΠ²Π½ΡΡ
ΡΡΠ½ΠΊΡΠΈΠΉ ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΡΡΡ Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΡΠ½ΠΎΠ²Π΅ ΡΠΈΡΡΠ΅ΠΌΡ Π΄ΠΎΠΊΠ°Π·Π°ΡΠ΅Π»ΡΡΡΠ²Π° ACL2. ΠΡ ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΠ΅ΠΌ ΡΠΈΡΡΠ΅ΠΌΡ ACL2, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΡΡ Π½Π° Π²ΡΡΠΈΡΠ»ΠΈΠΌΡΡ
ΡΠ΅ΠΊΡΡΡΠΈΠ²Π½ΡΡ
ΡΡΠ½ΠΊΡΠΈΡΡ
. ΠΠ΅ΡΠ°Π³Π΅Π½Π΅ΡΠ°ΡΠΈΡ ΡΡΠ»ΠΎΠ²ΠΈΠΉ ΠΊΠΎΡΡΠ΅ΠΊΡΠ½ΠΎΡΡΠΈ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΡΠΏΡΠΎΡΡΠΈΡΡ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΡ Π½ΠΎΠ²ΡΡ
ΠΏΡΠ°Π²ΠΈΠ» Π²ΡΠ²ΠΎΠ΄Π° Π² ΡΠΈΡΡΠ΅ΠΌΠ΅ Π²Π΅ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ. ΠΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠΌΠ΅ΡΠ°Π½Π½ΠΎΠΉ Π°ΠΊΡΠΈΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΠΌΠ°Π½ΡΠΈΠΊΠΈ ΠΏΡΠΈΠ²ΠΎΠ΄ΠΈΡ Π² Π½Π΅ΠΊΠΎΡΠΎΡΡΡ
ΡΠ»ΡΡΠ°ΡΡ
ΠΊ Π±ΠΎΠ»Π΅Π΅ ΠΏΡΠΎΡΡΡΠΌ ΡΡΠ»ΠΎΠ²ΠΈΡΠΌ ΠΊΠΎΡΡΠ΅ΠΊΡΠ½ΠΎΡΡΠΈ
Crisis Identification and Development of Crisis Management Algorithm in the Agricultural Sector
The efficiency of many enterprises has declined significantly in the current global crisis. Enterprise management is the management of joint activities of people, which consists of many problems. The primary tactical tasks for most business entities are βpatching holesβ (or a reactive form of management) and preventing bankruptcy. This approach does not allow to achieve sustainable operation of the enterprise in the long term. Therefore, the formation of an effective mechanism for managing enterprises is acquiring special significance in today's conditions. The crisis is characterized by many interrelated situations that increase the complexity and risk of management. The problem of evaluating the effectiveness of enterprises is still one of the most complex and intractable. The crisis is objectively characterized by many interrelated situations that increase the complexity and risk of management. The crisis state of the enterprise is particularly difficult in predicting the results of management actions, since the course of events can be changed by relatively small impacts. Based on this, the company should be able to analyze both its own interests and the interests of business partners with whom the company enters into economic relations. There is such a problem as low management competence in the agricultural sector. In this regard, the development of enterprises becomes an urgent problem. This can be achieved by forming a scientifically based algorithm of actions aimed at improving the position of enterprises in the market.
The subject of the study is the formation of a crisis identification system and the development of an enterprise crisis management algorithm. The theoretical and practical significance of solving problems associated with achieving sustainable development and functioning of enterprises determined the choice of goals, objectives, object and subject of this study. Based on the foregoing, the object of study is industrial (processing) agricultural enterprises.
The research task is to propose a set of measures to overcome the crisis in the processing industrial enterprise.
A set of measures has been proposed and justified to overcome the crisis in an industrial enterprise, which will help in managing the economic entity and the result of the implementation of this approach should be overcoming the crisis.
The proposed measures can be applied not only by industrial processing enterprises, but also by other economic entities
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