178 research outputs found
Proceedings of the Conference on Hypothetical Reasoning, 23-24 August 2014, TĂŒbingen
Hypothetical reasoning or reasoning under assumptions is a key concept of logic, philosophy of science and mathematics. The Conference on Hypothetical Reasoning focussed on its logical aspects, such as assumption-based calculi and their proof theory,
logical consequence from a proof-theoretic or model-theoretic point of view, logics of conditionals, proof systems, structure of assumption-based proofs, hypotheses in proof-theoretic semantics, notions of implication, substructural logics, hypotheses in categorial logic, logical aspects of scientific explanation, hypothetical reasoning in mathematics and reasoning from definitions and axioms. The conference took place 23â24 August, 2014 in TĂŒbingen at the Department of Philosophy, in conjunction with ESSLLI 2014. The proceedings collect abstracts, slides and papers of the presentations given
Reasoning about Knowledge in Linear Logic: Modalities and Complexity
In a recent paper, Jean-Yves Girard commented that âit has been a long time since philosophy has stopped intereacting with logicâ[17]. Actually, it has no
A logic of hypothetical conjunction
This work was supported by the UK Engineering and Physical Sciences Research Council under the research grants EP/K033042/1 and EP/P011829/1.Peer reviewedPostprin
Radical anti-realism and substructural logics
We first provide the outline of an argument in favour of a radical form of anti-realism premised on the need to comply with two principles, implicitness and immanence, when trying to frame assertability-conditions. It follows from the first principle that one ought to avoid explicit bounding of the length of computations, as is the case for some strict finitists, and look for structural weakening instead. In order to comply with the principle of immanence, one ought to take into account the difference between being able to recognize a proof when presented with one and being able to produce one and thus avoid the idealization of our cognitive capacities that arise within Hilbert-style calculi. We then explore the possibility of weakening structural rules in order to comply with radical anti-realist strictures
Modal Abstractions for Virtualizing Memory Addresses
Operating system kernels employ virtual memory management (VMM) subsystems to
virtualize the addresses of memory regions in order to to isolate untrusted
processes, ensure process isolation and implement demand-paging and
copy-on-write behaviors for performance and resource controls. Bugs in these
systems can lead to kernel crashes. VMM code is a critical piece of
general-purpose OS kernels, but their verification is challenging due to the
hardware interface (mappings are updated via writes to memory locations, using
addresses which are themselves virtualized). Prior work on VMM verification has
either only handled a single address space, trusted significant pieces of
assembly code, or resorted to direct reasoning over machine semantics rather
than exposing a clean logical interface.
In this paper, we introduce a modal abstraction to describe the truth of
assertions relative to a specific virtual address space, allowing different
address spaces to refer to each other, and enabling verification of instruction
sequences manipulating multiple address spaces. Using them effectively requires
working with other assertions, such as points-to assertions in our separation
logic, as relative to a given address space. We therefore define virtual
points-to assertions, which mimic hardware address translation, relative to a
page table root. We demonstrate our approach with challenging fragments of VMM
code showing that our approach handles examples beyond what prior work can
address, including reasoning about a sequence of instructions as it changes
address spaces. All definitions and theorems mentioned in this paper including
the operational model of a RISC-like fragment of supervisor-mode x86-64, and a
logic as an instantiation of the Iris framework, are mechanized inside Coq
Contractions of noncontractive consequence relations
Some theorists have developed formal approaches to truth that depend on counterexamples to the structural rules of contraction. Here, we study such approaches, with an eye to helping them respond to a certain kind of objection. We define a contractive relative of each noncontractive relation, for use in responding to the objection in question, and we explore one example: the contractive relative of multiplicative-additive affine logic with transparent truth, or MAALT
08061 Abstracts Collection -- Types, Logics and Semantics for State
From 3 February to 8 February 2008, the Dagstuhl Seminar 08061
``Types, Logics and Semantics for State\u27\u27 was held in the
International Conference and Research Center (IBFI), Schloss Dagstuhl.
During the seminar, several participants presented their current
research, and ongoing work and open problems were discussed. Abstracts
of the presentations given during the seminar as well as abstracts of
seminar results and ideas are put together in this paper. The first
section describes the seminar topics and goals in general. Links to
extended abstracts or full papers are provided, if available
Localism in Logic: an Analysis of Chunk and Permeate Methodology
MĂ ster en Filosofia AnalĂtica (APhil), Facultat FilosofĂa, Universitat de Barcelona, Curs: 2016-2017, Director/Tutor: JosĂ© MartĂnez FernĂĄndezIn this paper we present a different approach in the classical debate over pluralism and monism. This approach focuses on whether the application of logic is local or global. The thesis we will defend is in favour of localism. In doing so, we will introduce the methodology of Chunk and Permeate, in order to give an account of one of the problems that localism faces
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