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Substructure Temporal Logic [PDF]

open access: yes2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science, 2013
In formal verification and design, reasoning about substructures is a crucial aspect for several fundamental problems, whose solution often requires to select a portion of the model of interest on which to verify a specific property. In this paper, we present a new branching-time temporal logic, called Substructure Temporal Logic (STL, for short ...
BENERECETTI, MASSIMO   +2 more
openaire   +2 more sources

One-Sided Sequent Systems for Nonassociative Bilinear Logic: Cut Elimination and Complexity

open access: yesBulletin of the Section of Logic, 2021
Bilinear Logic of Lambek amounts to Noncommutative MALL of Abrusci. Lambek proves the cut–elimination theorem for a one-sided (in fact, left-sided) sequent system for this logic.
Paweł Płaczek
doaj   +1 more source

Intuitionistic Layered Graph Logic: Semantics and Proof Theory [PDF]

open access: yesLogical Methods in Computer Science, 2018
Models of complex systems are widely used in the physical and social sciences, and the concept of layering, typically building upon graph-theoretic structure, is a common feature.
Simon Docherty, David Pym
doaj   +1 more source

Local Search and the Evolution of World Models

open access: yesTopics in Cognitive Science, EarlyView., 2023
Abstract An open question regarding how people develop their models of the world is how new candidates are generated for consideration out of infinitely many possibilities. We discuss the role that evolutionary mechanisms play in this process. Specifically, we argue that when it comes to developing a global world model, innovation is necessarily ...
Neil R. Bramley   +3 more
wiley   +1 more source

Outline of a Dialogical Theory of Truth

open access: yesCrítica, 2023
In this essay I propose two theories of truth and show how they deal with semantic paradoxes. Their most salient feature is that they are based on a gametheoretic understanding of logic and meaning.
Miguel Álvarez Lisboa
doaj   +1 more source

Duality Theory and Categorical Universal Logic: With Emphasis on Quantum Structures [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
Categorical Universal Logic is a theory of monad-relativised hyperdoctrines (or fibred universal algebras), which in particular encompasses categorical forms of both first-order and higher-order quantum logics as well as classical, intuitionistic, and ...
Yoshihiro Maruyama
doaj   +1 more source

Amortised resource analysis with separation logic [PDF]

open access: yes, 2010
Type-based amortised resource analysis following Hofmann and Jost—where resources are associated with individual elements of data structures and doled out to the programmer under a linear typing discipline—have been successful in providing concrete ...
Robert Atkey, Atkey, Robert
core   +1 more source

Stone-Type Dualities for Separation Logics [PDF]

open access: yesLogical Methods in Computer Science, 2019
Stone-type duality theorems, which relate algebraic and relational/topological models, are important tools in logic because -- in addition to elegant abstraction -- they strengthen soundness and completeness to a categorical equivalence, yielding a ...
Simon Docherty, David Pym
doaj   +1 more source

Dynamic Separation Logic and its Use in Education

open access: yesСовременные информационные технологии и IT-образование, 2020
Mathematical logic is widely used in hardware and software verification. Hoare logic is particularly suitable for reasoning about imperative programs.
Evgeny Makarov
doaj   +1 more source

Remarks on an algebraic semantics for paraconsistent Nelson's logic

open access: yesManuscrito, 2011
In the paper Busaniche and Cignoli (2009) we presented a quasivariety of commutative residuated lattices, called NPc-lattices, that serves as an algebraic semantics for paraconsistent Nelson's logic.
Manuela Busaniche, Roberto Cignoli
doaj   +1 more source

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