Propositional truth tables, Computer Engineering

Assignment Help:

Propositional truth tables:

There {X\t} is a substitution that replaces all occurances of variable X with a term representing an object t as: 

  • ∀X. A is true if and only if A.{X\t} for every one t in Δ
  • ?X. A is true if and only if A.{X\t} for at any rate one t in Δ

 

By repeating this for all the quantifiers than we get a set of ground formulae in which we have to check that if the original sentence is true or false. But unfortunately, we don't have specified there that our domain Δ is finite -  like in example we see that it may contain the natural numbers -  but there may be a infinite number of sentences to check for a given model! So there may be also be an infinite number of models. And although we have a proper definition of model hence a proper semantics for first-order logic and we can't rely on having a finite number of models like we did where drawing propositional truth tables.


Related Discussions:- Propositional truth tables

Sun and nis law, Sun and Ni's Law The Sun and Ni's Law is a generalizat...

Sun and Ni's Law The Sun and Ni's Law is a generalization of Amdahl's Law as well as Gustafson's Law. The fundamental idea underlying the Sun and Ni's Law is to find the soluti

Registered ports, A) What does this file have? Where was the information in...

A) What does this file have? Where was the information in this file acquired from? What is the information in this file used for? B)  What is the range for popular ports? What i

Design a flash project, The only way to respond effectively to a design pro...

The only way to respond effectively to a design project is to first understand the topic well yourself. To do this you need to research the topic and ask yourself a series of quest

Determine the values of the output of the logic gates, Write the values of ...

Write the values of the C output for the following gates: For a(n) ________ gate, the output is zero if any of the inputs are equal to  one. For a(n) ________ gate ,the

Explain clone process, Explain Clone process. A clone process is genera...

Explain Clone process. A clone process is generated using primitive type clone by duplicating its parent process. However unlike traditional processes it might be share its con

Explain about the various uses of artificial intelligence, Discuss the use ...

Discuss the use of Artificial intelligence techniques in E-Commerce applications. Explain about the various uses of Artificial Intelligence in Medicine field. Justify it with pr

Direct mapped cache - computer architecture, Direct Mapping: In this p...

Direct Mapping: In this particular technique, block j of the primary memory maps onto block j modulo 128 of the cache. The primary memory blocks 0,128,256,...is loaded

Define local area network, LAN is a privately - owned computer networks con...

LAN is a privately - owned computer networks confined to small geographical area, like a factory or an office widely used to connect office PCs to share resources and information.

Main strength of ascii, Q. Main strength of ASCII? One such standard co...

Q. Main strength of ASCII? One such standard code which enables language encoding that is popularly used is ASCII (American Standard Code for Information Interchange). This cod

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd