Results 31 to 40 of about 2,593,900 (78)

Non-commutative propositional logic with short-circuited biconditional and NAND [PDF]

open access: yes, 2022
Short-circuit evaluation denotes the semantics of propositional connectives in which the second argument is evaluated only if the first argument does not suffice to determine the value of the expression. In programming, short-circuit evaluation is widely
Papuc, D., Ponse, A.
core   +2 more sources

On translating conditional statements into mathematical logic [PDF]

open access: yesarXiv, 2022
In this paper, we highlight a profound difference between conditional statements in mathematical logic and natural languages. This difference exists even when the conditional statements are used in mathematical theorems.
arxiv  

On SAT representations of XOR constraints [PDF]

open access: yes, 2013
We study the representation of systems S of linear equations over the two-element field (aka xor- or parity-constraints) via conjunctive normal forms F (boolean clause-sets).
A. Urquhart   +13 more
core   +2 more sources

A Proof Strategy Language and Proof Script Generation for Isabelle/HOL

open access: yes, 2017
We introduce a language, PSL, designed to capture high level proof strategies in Isabelle/HOL. Given a strategy and a proof obligation, PSL's runtime system generates and combines various tactics to explore a large search space with low memory usage ...
A Bundy   +10 more
core   +1 more source

Propositional logic with short-circuit evaluation: a non-commutative and a commutative variant [PDF]

open access: yes, 2018
Short-circuit evaluation denotes the semantics of propositional connectives in which the second argument is evaluated only if the first argument does not suffice to determine the value of the expression.
Bergstra, Jan A.   +2 more
core   +1 more source

From truth to computability II [PDF]

open access: yes, 2005
Computability logic is a formal theory of computational tasks and resources. Formulas in it represent interactive computational problems, and "truth" is understood as algorithmic solvability.
Blass   +7 more
core   +2 more sources

From ATL to Stit [PDF]

open access: yesarXiv, 2023
I present a technical embedding of alternating-time temporal logic into stit theory.
arxiv  

A new face of the branching recurrence of computability logic [PDF]

open access: yes, 2011
This letter introduces a new, substantially simplified version of the branching recurrence operation of computability logic (see http://www.cis.upenn.edu/~giorgi/cl.html), and proves its equivalence to the old, "canonical ...
Blass   +15 more
core   +2 more sources

Abstraction Logic: A New Foundation for (Computer) Mathematics [PDF]

open access: yesarXiv, 2022
Abstraction logic is a new logic, serving as a foundation of mathematics. It combines features of both predicate logic and higher-order logic: abstraction logic can be viewed both as higher-order logic minus static types as well as predicate logic plus operators and variable binding.
arxiv  

A Proof of Kamp's theorem [PDF]

open access: yesLogical Methods in Computer Science, Volume 10, Issue 1 (February 18, 2014) lmcs:730, 2014
We provide a simple proof of Kamp's theorem.
arxiv   +1 more source

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