This PDF covers the following topics related to Computer Science,Intro to Proofs, Well Ordering Principle, Logical Formulas, Mathematical Data Types, Induction, Recursive Data Types, Infinite Sets, Number Theory, Directed Graphs and Partial Orders, Communication Networks, Simple Graphs, Planar Graphs, Sums and Asymptotics, Cardinality Rules, Generating Functions, Events and Probability Spaces, Conditional Probability, Random Variables, Deviation From the Mean, Random Walks.
Author(s): Eric Lehman, F. Thomson Leighton, Alberty R.
Meyer
This lecture note covers introduction, Informal Propositional Logic, The Formal Syntax of Propositional Logic,Functions Defined Recursively on PL, Semantics of Propositional Logic, Logical Connectives, Natural Deduction, Normal Forms and Resolution in Propositional Logic.
This pdf provides a comprhensive overview about general computer science, provides examples and various related topics. The core of the course delves into the representation and computation with a focus on discrete mathematics. The subsequent section on programming delves into Standard ML, recursion and imperative features and encoding of programs as strings. The course progresses to Boolean algebra and Propositional logic and machineoriented calculi like analytical tableaux and resolution.
This PDF covers the following topics related to Computer Science,Intro to Proofs, Well Ordering Principle, Logical Formulas, Mathematical Data Types, Induction, Recursive Data Types, Infinite Sets, Number Theory, Directed Graphs and Partial Orders, Communication Networks, Simple Graphs, Planar Graphs, Sums and Asymptotics, Cardinality Rules, Generating Functions, Events and Probability Spaces, Conditional Probability, Random Variables, Deviation From the Mean, Random Walks.
Author(s): Eric Lehman, F. Thomson Leighton, Alberty R.
Meyer
The PDF covers the following topics related to Computer Science, Introduction to Logics, Propositional Calculus, Predicate Calculus, Applications of Predicate Calculus, Automated Deduction in Propositional Calculus, Automated Deduction in Predicate Calculus, SecondOrder Logic, SecondOrder Quantifier Elimination, Modal Logics, Temporal Logic, Logics of Programs, Fixpoint Calculus, Rough Concepts.