Thesis Proposal: A Logical Foundation for Session-based
... It has a few variations from that of [5] in that it does not commit to the π-calculus a priori, developing a proof term assignment that can be used as a language for session-typed communication, but also maintaining its connections to the π-calculus. The goal of this “dual” development, amongst othe ...
... It has a few variations from that of [5] in that it does not commit to the π-calculus a priori, developing a proof term assignment that can be used as a language for session-typed communication, but also maintaining its connections to the π-calculus. The goal of this “dual” development, amongst othe ...
A causal approach to nonmonotonic reasoning
... From the point of view of the present study, the causal reasoning constitutes an important conceptual shift in the general framework of explanatory nonmonotonic reasoning, since it is based on a direct and transparent description of factual and causal (explanatory) information about the world. In ot ...
... From the point of view of the present study, the causal reasoning constitutes an important conceptual shift in the general framework of explanatory nonmonotonic reasoning, since it is based on a direct and transparent description of factual and causal (explanatory) information about the world. In ot ...
Reductio ad Absurdum Argumentation in Normal Logic
... current standard 2-valued semantics for Normal Logic Programs— the Stable Models Semantics [11] — has been around for almost 20 years now, and it is generally accepted as the de facto standard 2-valued semantics for NLPs. This thoroughly studied semantics, however, lacks some important properties am ...
... current standard 2-valued semantics for Normal Logic Programs— the Stable Models Semantics [11] — has been around for almost 20 years now, and it is generally accepted as the de facto standard 2-valued semantics for NLPs. This thoroughly studied semantics, however, lacks some important properties am ...
an extension of spass deciding first
... to provide a result for sure. One main issue of the project was to prove that the resolution methods implemented are sound, complete and terminate. This report aims at describing precisely the work realised. First, the basic concepts on which this project is built are described. This contains the ma ...
... to provide a result for sure. One main issue of the project was to prove that the resolution methods implemented are sound, complete and terminate. This report aims at describing precisely the work realised. First, the basic concepts on which this project is built are described. This contains the ma ...
Mathematical Logic
... for the logical connective → and the universal quantifier ∀. The rules come in pairs: we have an introduction and an elimination rule for each of these. The other logical connectives are introduced by means of axiom schemes: this is done for conjunction ∧, disjunction ∨ and the existential quantifie ...
... for the logical connective → and the universal quantifier ∀. The rules come in pairs: we have an introduction and an elimination rule for each of these. The other logical connectives are introduced by means of axiom schemes: this is done for conjunction ∧, disjunction ∨ and the existential quantifie ...
Discrete Mathematics
... Hint: The Appendix of our text Isabelle/HOL – A Proof Assistant for Higher-Order Logic lists the logical connectives, such as −→ and ¬, and for each of them gives two ways to input them as ASCI text. If you use Emacs (or XEmacs) to edit your Isabelle files, then the x-symbol package can be used to d ...
... Hint: The Appendix of our text Isabelle/HOL – A Proof Assistant for Higher-Order Logic lists the logical connectives, such as −→ and ¬, and for each of them gives two ways to input them as ASCI text. If you use Emacs (or XEmacs) to edit your Isabelle files, then the x-symbol package can be used to d ...
Boolean Functions
... • The dual of a Boolean function F represented by a Boolean expression is the function represented by the dual of the expression • This dual function Fd, does not depend of the particular Boolean expression used to represent F; an identity between functions represented by Boolean expressions remains ...
... • The dual of a Boolean function F represented by a Boolean expression is the function represented by the dual of the expression • This dual function Fd, does not depend of the particular Boolean expression used to represent F; an identity between functions represented by Boolean expressions remains ...
On the meanings of the logical constants and the justifications of the
... has come to be based on the single form of judgement, or assertion, A is true. Once this step was taken, the question arose, What sort of thing is it that is affirmed in an affirmation and denied in a denial? that is, What sort of thing is the A here? The isolation of this concept belongs to the, if ...
... has come to be based on the single form of judgement, or assertion, A is true. Once this step was taken, the question arose, What sort of thing is it that is affirmed in an affirmation and denied in a denial? that is, What sort of thing is the A here? The isolation of this concept belongs to the, if ...
On the Meaning of the Logical Constants and the
... has come to be based on the single form of judgement, or assertion, A is true. Once this step was taken, the question arose, What sort of thing is it that is affirmed in an affirmation and denied in a denial? that is, What sort of thing is the A here? The isolation of this concept belongs to the, if ...
... has come to be based on the single form of judgement, or assertion, A is true. Once this step was taken, the question arose, What sort of thing is it that is affirmed in an affirmation and denied in a denial? that is, What sort of thing is the A here? The isolation of this concept belongs to the, if ...
Deductive Databases with Universally Quantified Conditions
... a n-ary predicate symbol, t1, ..., tn are terms exactly one of are either constant or variable symbols. a n-ary predicate symbol, t1, ..., tn are terms exactly one of are either constant or variable symbols. ...
... a n-ary predicate symbol, t1, ..., tn are terms exactly one of are either constant or variable symbols. a n-ary predicate symbol, t1, ..., tn are terms exactly one of are either constant or variable symbols. ...
Elements of Finite Model Theory
... mathematicians, not computer scientists. There is also a nice set of notes by Väänänen, available on the web. Immerman’s Descriptive Complexity deals extensively with complexity-theoretic aspects of finite model theory, but does not address other applications. Foundations of Databases by Abiteboul ...
... mathematicians, not computer scientists. There is also a nice set of notes by Väänänen, available on the web. Immerman’s Descriptive Complexity deals extensively with complexity-theoretic aspects of finite model theory, but does not address other applications. Foundations of Databases by Abiteboul ...
Notes on Mathematical Logic David W. Kueker
... (3) interpretations for L: A, B, . . ., (4) a relation |= between interpretations for L and sentences of L, with A |= σ read as “σ is true in the interpretation A,” or “A is a model of σ.” Using these we can define logical consequence as follows: Definition -1.1. Let Γ = {θ1 , . . . , θn } where θ1 ...
... (3) interpretations for L: A, B, . . ., (4) a relation |= between interpretations for L and sentences of L, with A |= σ read as “σ is true in the interpretation A,” or “A is a model of σ.” Using these we can define logical consequence as follows: Definition -1.1. Let Γ = {θ1 , . . . , θn } where θ1 ...
Specifying and Verifying Fault-Tolerant Systems
... required for definitions, (ii) the except construct (described below) has replaced the earlier syntax for the same operator, (iii) single square brackets have replaced ...
... required for definitions, (ii) the except construct (described below) has replaced the earlier syntax for the same operator, (iii) single square brackets have replaced ...
Functional Dependencies in a Relational Database and
... responding dependency statement. Let t be a truth assignment, that is, a mapping that assigns to each propositional variable either the value 0 (false) or 1 (true), The propositional statement A, . . . A,,, .$ B, . . ‘ B, has truth value 0 under truth assignment t if each of A,, . . ., A,,, has the ...
... responding dependency statement. Let t be a truth assignment, that is, a mapping that assigns to each propositional variable either the value 0 (false) or 1 (true), The propositional statement A, . . . A,,, .$ B, . . ‘ B, has truth value 0 under truth assignment t if each of A,, . . ., A,,, has the ...
