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Propositional inquisitive logic: a survey
Propositional inquisitive logic: a survey

485-291 - Wseas.us
485-291 - Wseas.us

On the proof theory of regular fixed points
On the proof theory of regular fixed points

G - Courses
G - Courses

ANNALS OF PURE AND APPLIED LOGIC I W
ANNALS OF PURE AND APPLIED LOGIC I W

... last equality nicely brings out the uniform treatment of formulae and programs in CPL.) Note that every PDL model M = (S, r, R) is a priori also a CPL model; simply take p(P) = (r(P)) and p(a) = z(a), for every P E ASF and a E ATF, respectively. Under this model correspondence it is easy show that P ...
Classical first-order predicate logic This is a powerful extension
Classical first-order predicate logic This is a powerful extension

Separation Logic with One Quantified Variable
Separation Logic with One Quantified Variable

... separation logic are PSPACE-complete problems [6]. Decidable fragments with first-order quantifiers can be found in [11, 4]. However, these known results crucially rely on the memory model addressing cells with two record fields (undecidability of 2SL in [6] is by reduction to the first-order theor ...
Many-Valued Models
Many-Valued Models

... birth of three-valued logic was adding a third value to the matrix of bivalued logic, having in mind an intuitive interpretation of this new value. The interpretation Ł ukasiewicz had in mind was linked with Aristotles Perihermeneias and sentences on future contingent facts, that were in his view ne ...
The Foundations
The Foundations

... Propositional or Boolean operators operate on propositions or truth values instead of on numbers. Transparency No. 1-9 ...
The Foundations
The Foundations

The Foundations
The Foundations

overhead 12/proofs in predicate logic [ov]
overhead 12/proofs in predicate logic [ov]

HKT Chapters 1 3
HKT Chapters 1 3

The Taming of the (X)OR
The Taming of the (X)OR

... sets of xor-clauses, i.e. clauses made up with xor as the connective – can be decided in polynomial time [Sch78]. In particular, one can use a Gaussian Elimination procedure (GE procedure) to decide a given affine logic problems in quadratic time. It seems therefore possible to include GE as a black ...
Aristotle, Boole, and Categories
Aristotle, Boole, and Categories

A really temporal logic
A really temporal logic

... Permission to copy wdhout fee all or part of this material is granted provided that the copies are not made or distributed for direct commercial advantage, the ACM copyright notice and the title of the publication and its date appear, and notice is given that copying is by permission of the Associat ...
An Interpolating Theorem Prover
An Interpolating Theorem Prover

... This provides a complete symbolic method of model checking finite-state systems with respect to linear temporal properties. The method is based entirely on a proof-generating Boolean satisfiability solver and does not rely on quantifier elimination or reduction to normal forms such as binary decisio ...
on the Complexity of Quantifier-Free Fixed-Size Bit-Vector
on the Complexity of Quantifier-Free Fixed-Size Bit-Vector

... When the counter reaches a value of n, it does not change anymore and the output of the atomic Sequential Circuit is set to the same value as the output in the previous cycle. A counter like this can be realized with rlog2 pnqs gates, i.e. polynomially in the size of Φ. In contrast to the implementa ...
Knowledge of Logical Truth Knowledge of Logical Truth
Knowledge of Logical Truth Knowledge of Logical Truth

The Foundations
The Foundations

... Propositional or Boolean operators operate on propositions or truth values instead of on numbers. Transparency No. 1-9 ...
Divide and congruence applied to eta-bisimulation
Divide and congruence applied to eta-bisimulation

On the Construction of Analytic Sequent Calculi for Sub
On the Construction of Analytic Sequent Calculi for Sub

6. Truth and Possible Worlds
6. Truth and Possible Worlds

Proof theory of witnessed G¨odel logic: a
Proof theory of witnessed G¨odel logic: a

A Partially Truth Functional Approach to
A Partially Truth Functional Approach to

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Propositional formula

In propositional logic, a propositional formula is a type of syntactic formula which is well formed and has a truth value. If the values of all variables in a propositional formula are given, it determines a unique truth value. A propositional formula may also be called a propositional expression, a sentence, or a sentential formula.A propositional formula is constructed from simple propositions, such as ""five is greater than three"" or propositional variables such as P and Q, using connectives such as NOT, AND, OR, and IMPLIES; for example:(P AND NOT Q) IMPLIES (P OR Q).In mathematics, a propositional formula is often more briefly referred to as a ""proposition"", but, more precisely, a propositional formula is not a proposition but a formal expression that denotes a proposition, a formal object under discussion, just like an expression such as ""x + y"" is not a value, but denotes a value. In some contexts, maintaining the distinction may be of importance.
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