Results 11 to 20 of about 65,097 (137)

A Logic for True Concurrency [PDF]

open access: yes, 2014
We propose a logic for true concurrency whose formulae predicate about events in computations and their causal dependencies. The induced logical equivalence is hereditary history preserving bisimilarity, and fragments of the logic can be identified which
Baldan, Paolo, Crafa, Silvia
core   +1 more source

A Potpourri of Reason Maintenance Methods [PDF]

open access: yes, 2011
We present novel methods to compute changes to materialized views in logic databases like those used by rule-based reasoners. Such reasoners have to address the problem of changing axioms in the presence of materializations of derived atoms.
Bry, François   +2 more
core   +1 more source

Fibred Coalgebraic Logic and Quantum Protocols [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
Motivated by applications in modelling quantum systems using coalgebraic techniques, we introduce a fibred coalgebraic logic. Our approach extends the conventional predicate lifting semantics with additional modalities relating conditions on different ...
Daniel Marsden
doaj   +1 more source

Henkin on Nominalism and Higher-Order Logic

open access: yesPrincipia: An International Journal of Epistemology, 2022
In this paper a proposal by Henkin of a nominalistic interpretation for second and higher-order logic is developed in detail and analysed. It was proposed as a response to Quine’s claim that second and higher-order logic not only are (α) committed to ...
Diego Pinheiro Fernandes
doaj   +1 more source

The Epsilon Calculus and Herbrand Complexity [PDF]

open access: yes, 2005
Hilbert's epsilon-calculus is based on an extension of the language of predicate logic by a term-forming operator $\epsilon_{x}$. Two fundamental results about the epsilon-calculus, the first and second epsilon theorem, play a role similar to that which ...
A. Blass   +20 more
core   +2 more sources

Mendler-style Iso-(Co)inductive predicates: a strongly normalizing approach [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2012
We present an extension of the second-order logic AF2 with iso-style inductive and coinductive definitions specifically designed to extract programs from proofs a la Krivine-Parigot by means of primitive (co)recursion principles.
Favio Ezequiel Miranda-Perea   +1 more
doaj   +1 more source

A predicate extension of real valued logic [PDF]

open access: yesArchive for Mathematical Logic, 2017
In [Math. Log. Q. 61, No. 1--2, 32--44 (2015; Zbl 1372.03046)] the author and \textit{D. Zambella} introduced an unbounded real-valued propositional logic, called propositional \(\mathbb{R}\)-logic. In the present paper, the author carries on such research line by presenting a first-order version of \(\mathbb{R}\)-logic.
openaire   +3 more sources

Logical Reasoning for Higher-Order Functions with Local State [PDF]

open access: yesLogical Methods in Computer Science, 2008
We introduce an extension of Hoare logic for call-by-value higher-order functions with ML-like local reference generation. Local references may be generated dynamically and exported outside their scope, may store higher-order functions and may be used to
Nobuko Yoshida   +2 more
doaj   +1 more source

Cycle Detection in Computation Tree Logic [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2016
Temporal logic is a very powerful formalism deeply investigated and used in formal system design and verification. Its application usually reduces to solving specific decision problems such as model checking and satisfiability. In these kind of problems,
Gaëlle Fontaine   +4 more
doaj   +1 more source

Predicate Liftings and Functor Presentations in Coalgebraic Expression Languages [PDF]

open access: yes, 2018
We introduce a generic expression language describing behaviours of finite coalgebras over sets; besides relational systems, this covers, e.g., weighted, probabilistic, and neighbourhood-based system types.
A Silva   +26 more
core   +2 more sources

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