An Institution-Independent Generalization of Tarski`s Elementary
... Institutions are abstract logical frameworks which provide a category of signatures (languages) and signature morphisms (language translations), and, for each signature, a set of sentences, a category of models, and a satisfaction relation. Sentences have translations, and models have reducts, along ...
... Institutions are abstract logical frameworks which provide a category of signatures (languages) and signature morphisms (language translations), and, for each signature, a set of sentences, a category of models, and a satisfaction relation. Sentences have translations, and models have reducts, along ...
Hardware Installation Guide for the Polycom
... No part of this document may be reproduced or transmitted in any form or by any means, electronic or mechanical, for any purpose, without the express written permission of Polycom, Inc. Under the law, reproducing includes translating into another language or format. As between the parties, Polycom, ...
... No part of this document may be reproduced or transmitted in any form or by any means, electronic or mechanical, for any purpose, without the express written permission of Polycom, Inc. Under the law, reproducing includes translating into another language or format. As between the parties, Polycom, ...
MoL-2013-07 - Institute for Logic, Language and Computation
... the type of model-transformation technique that we are considering, they are not purely questions about these techniques. In this thesis, we are (for the most part) not interested in this interplay between a modeltransformation technique and sentences in the language of set theory, but instead, in ...
... the type of model-transformation technique that we are considering, they are not purely questions about these techniques. In this thesis, we are (for the most part) not interested in this interplay between a modeltransformation technique and sentences in the language of set theory, but instead, in ...
Tools for Refactoring Functional Programs
... Why refactor Haskell? The only design artefact is (in) the code. Semantics of functional languages support largescale transformations (?) Building real tools to support functional programming … heavy lifting. Platform for research and experimentation. ...
... Why refactor Haskell? The only design artefact is (in) the code. Semantics of functional languages support largescale transformations (?) Building real tools to support functional programming … heavy lifting. Platform for research and experimentation. ...
M-rank and meager groups
... clp (ai ) = clp (a0i ). This in turn provides us with a clp (∅)-definable regular group G, with generics non-orthogonal to p (generalizing [Hru, Proposition 5.10]). In Section 2 we further investigate such groups G and prove (using the results from [Ne2, Ne3]) that if T has < 2ℵ0 countable models th ...
... clp (ai ) = clp (a0i ). This in turn provides us with a clp (∅)-definable regular group G, with generics non-orthogonal to p (generalizing [Hru, Proposition 5.10]). In Section 2 we further investigate such groups G and prove (using the results from [Ne2, Ne3]) that if T has < 2ℵ0 countable models th ...
LTL and CTL - UT Computer Science
... • if p ∈ AP then p is a valid LTL formula. • if ψ, φ are valid LTL formulas, then ¬ψ, ψ ∨ φ, Xψ, ψUφ are valid LTL formulas. We have now defined the syntax for LTL. Note that we use only the X and U modalities for defining the valid formulas in LTL. We will define the sematics for LTL now. LTL formu ...
... • if p ∈ AP then p is a valid LTL formula. • if ψ, φ are valid LTL formulas, then ¬ψ, ψ ∨ φ, Xψ, ψUφ are valid LTL formulas. We have now defined the syntax for LTL. Note that we use only the X and U modalities for defining the valid formulas in LTL. We will define the sematics for LTL now. LTL formu ...
.pdf
... environment. Logics to reason about real-time, for example, axiomatize assumptions about how time advances while the program executes. These assumptions abstract the effects of the scheduler and the execution times of various atomic actions. A logic to reason about the consequences of resource const ...
... environment. Logics to reason about real-time, for example, axiomatize assumptions about how time advances while the program executes. These assumptions abstract the effects of the scheduler and the execution times of various atomic actions. A logic to reason about the consequences of resource const ...
ppt - TAMU Computer Science Faculty Pages
... head and tail map any nonempty list to its first and remaining elements. is this definition complete? ...
... head and tail map any nonempty list to its first and remaining elements. is this definition complete? ...
Die Grundlagen der Arithmetik §§82–83
... proof we discuss conforms to the outline Frege gives in §§82–83 more closely than does the first. But if it had been the one he had in mind, the proof-sketch in these two sections would have contained a remarkably large gap that was never filled by any argument found in Grundgesetze. In any case, it ...
... proof we discuss conforms to the outline Frege gives in §§82–83 more closely than does the first. But if it had been the one he had in mind, the proof-sketch in these two sections would have contained a remarkably large gap that was never filled by any argument found in Grundgesetze. In any case, it ...
Curry–Howard correspondence
In programming language theory and proof theory, the Curry–Howard correspondence (also known as the Curry–Howard isomorphism or equivalence, or the proofs-as-programs and propositions- or formulae-as-types interpretation) is the direct relationship between computer programs and mathematical proofs. It is a generalization of a syntactic analogy between systems of formal logic and computational calculi that was first discovered by the American mathematician Haskell Curry and logician William Alvin Howard. It is the link between logic and computation that is usually attributed to Curry and Howard, although the idea is related to the operational interpretation of intuitionistic logic given in various formulations by L. E. J. Brouwer, Arend Heyting and Andrey Kolmogorov (see Brouwer–Heyting–Kolmogorov interpretation) and Stephen Kleene (see Realizability). The relationship has been extended to include category theory as the three-way Curry–Howard–Lambek correspondence.