Here you can ask questions and find or give answers to organizational, academic and other questions about studying computer science.

1.1k questions

1.2k answers

1.6k comments

532 users

Most popular tags

vrs vrs_exam vrs_exercise ltl ctl exam dira omega_automata rosy parallel_computing ltl_model_checking mbes processor_architecture zielonka se1 lo2 automata bdd mu-calculus sequent-calculus simplex temporal local-model-checking kripke studiengang_reform rosy_exam zdd2fdd vrs_lecture greatest-simulation bdd2fdd exists-algorithm fourier_motzkin equivalance bdd2zdd tool studiengangswechsel fdd2bdd floating_point_arithmetic snf induction simulation zdd curriculum_change symbolic_computation fdd2zdd ctl_model_checking predicate_logic dynamic_scheduling cmd b_complement_multiplication constrain-algorithm compose-algorithm #parallel_computing minic i2sc format robdd breakpoint acceptance curriculum_update basic_block_scheduling unit-tests finroc sche ddd2zdd zdd2bdd vrs_cheatsheet hrs infinite_path branch-bound pre-requisite thesis functional state-machine uml-diagram embedded-system ml1 registration pipeline_conflicts vector_computers actiontable modulo_scheduling static_scheduling organisation lo1 conditional #pram restrict ite programming compiler abacus scheduling parallel forall notation shannon important predecessors fdd

Categories

Question regarding lattices [closed]

0 votes

In Question 1 of the current exercise why is R5 a lattice and R3 not? At first I thought I had understood the solution but the more I think about this the more I get confused by it. Maybe I do not understand the definition of greates lower and lowest upper bound correctly.

closed with the note: Question answered
in * TF "Emb. Sys. and Rob." by (800 points)
closed by

1 Answer

+1 vote
 
Best answer

Read the following hints one by one. Think whether you can figure out the answer. If you can't continue with the next one:

  1. Look at R4 and R6. Do you see how R4 differs from R3, and how R6 differs from R5?
  2. We agree that R5 is a lattice. Hence, there's a a supremum and an infimum for every pair of elements. What's the infimum of {3, 7} in R5? Is there an infimum of {3, 7} in R3?
  3. Maybe you are confused by the natural numbers and orderings on these. Try to abstract from that. Imagine that the elements in R3 are just some elements that have nothing in common with any set or relation you know.
by (25.6k points)
selected by

Related questions

0 votes
1 answer
Doubt regarding VRS Exam 2022.09 Problem 3c)
asked Jan 17, 2023 in * TF "Emb. Sys. and Rob." by obeng (260 points)
0 votes
1 answer
Doubt regarding VRS Exam 2022.02 Problem 5b)
asked Aug 27, 2022 in * TF "Emb. Sys. and Rob." by khanh (460 points)
 | Snow Theme by Q2A Market
Powered by Question2Answer
Imprint | Privacy Policy
...