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Essentials Of Symbolic Logic
Essentials Of Symbolic Logic

CUED PhD and MPhil Thesis Classes
CUED PhD and MPhil Thesis Classes

John Nolt – Logics, chp 11-12
John Nolt – Logics, chp 11-12

Dependence Logic
Dependence Logic

... a team. A team may arise for example as follows: Two players play a certain game 25 times thus producing 25 sequences of moves. A team of 25 agents is created. It may be desirable to know answers to the following kinds of questions: (a) What is the strategy that a player is following, or is he or sh ...
Using linear logic to reason about sequent systems ?
Using linear logic to reason about sequent systems ?

LPF and MPLω — A Logical Comparison of VDM SL and COLD-K
LPF and MPLω — A Logical Comparison of VDM SL and COLD-K

Default Logic (Reiter) - Department of Computing
Default Logic (Reiter) - Department of Computing

THE SEMANTICS OF MODAL PREDICATE LOGIC II. MODAL
THE SEMANTICS OF MODAL PREDICATE LOGIC II. MODAL

... completely move to a higher-order setting, where constants and variables can be of various higher types, e.g. type-0 constants denote objects, type-1 constants individual concepts etc. (cf. [3]). In this paper, we will follow a different approach, treating constants and variables in the same way, bu ...
Using linear logic to reason about sequent systems
Using linear logic to reason about sequent systems

... for related material. Since we now wish to represent one logic and proof system within another, we need to distinguish between the meta-logic, namely, linear logic as presented by Forum, and the various object-logics for which we wish to specify sequent proof systems. Formulas of the object-level wi ...
Sequent Combinators: A Hilbert System for the Lambda
Sequent Combinators: A Hilbert System for the Lambda

? A Unified Semantic Framework for Fully
? A Unified Semantic Framework for Fully

... premises of this application appear before. We shall write S `G s if such a proof exists. Remark 3.6. For our purposes, we find it most convenient to define sequents using sets, so that the structural rules of contraction and exchange are built-in. One can choose to work with lists (as in the origin ...
Discrete Mathematics: Chapter 2, Predicate Logic
Discrete Mathematics: Chapter 2, Predicate Logic

... SL is complete. The second way relates to SL’s expressive capabilities. The logical connectives of SL form a complete set of connectives: any sentence that can be formulated by means of truth-functional connectives, regardless of the number of sentences combined or the types of connectives employed, ...
Deep Inference and Symmetry in Classical Proofs
Deep Inference and Symmetry in Classical Proofs

(pdf)
(pdf)

Refinement Modal Logic
Refinement Modal Logic

Non-Classical Logic
Non-Classical Logic

A Logical Expression of Reasoning
A Logical Expression of Reasoning

self-reference in arithmetic i - Utrecht University Repository
self-reference in arithmetic i - Utrecht University Repository

Formal systems of fuzzy logic and their fragments∗
Formal systems of fuzzy logic and their fragments∗

On the Complexity of Qualitative Spatial Reasoning: A Maximal
On the Complexity of Qualitative Spatial Reasoning: A Maximal

Compositional reasoning using intervals and time reversal
Compositional reasoning using intervals and time reversal

Logic Part II: Intuitionistic Logic and Natural Deduction
Logic Part II: Intuitionistic Logic and Natural Deduction

... The language of intuitionistic propositional logic is the same as classical propositional logic, but the meaning of formulas is dierent ...
Introduction to Logic
Introduction to Logic

Introduction to Logic
Introduction to Logic

... direction. From now on, this will be a constantly recurring theme in logic. Looking at propositions as thus determining a truth value gives rise to some questions. (And sever problems, as we will see.) Since we allow using some “placeholders” – variables – a proposition need not to have a unique tru ...
Modal Logic for Artificial Intelligence
Modal Logic for Artificial Intelligence

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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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